Search for CP-violating nuclear magnetic quadrupole moment using the LuOH⁺ cation

Area of Science:

• * Atomic and Molecular Physics
• * Nuclear Physics
• * Quantum Chromodynamics

Background:

• * Investigating time-reversal and spatial parity violation is crucial for understanding fundamental physics.
• * Nuclear magnetic quadrupole moments (MQMs) offer a sensitive probe for such violations.
• * The LuOH+ molecular cation provides a unique system to study these interactions.

Purpose of the Study:

• * To investigate the interaction of nuclear MQMs of 175Lu and 176Lu with electrons in LuOH+.
• * To express this interaction in terms of fundamental parameters like the QCD angle θ¯, quark EDM, and chromo-EDM.
• * To assess the potential of LuOH+ as a system for measuring nuclear MQMs.

Main Methods:

• * Estimation of magnetic quadrupole moments for 175Lu and 176Lu nuclei.
• * Calculation of the molecular constant for MQM-electron interaction in LuOH+.
• * Consideration of correlation, relativistic effects, and Gaunt interaction in molecular calculations.
• * Prediction of hyperfine structure constants for the ground electronic state of LuOH+.

Main Results:

• * Calculated MQMs for 175Lu and 176Lu nuclei.
• * Determined the molecular constant characterizing the MQM-electron interaction.
• * Predicted hyperfine structure constants for LuOH+.
• * Established expressions relating the interaction to fundamental parameters.

Conclusions:

• * LuOH+ is identified as a promising system for measuring nuclear MQMs.
• * The study provides a theoretical framework for utilizing LuOH+ in searches for new physics.
• * The findings contribute to the ongoing quest for understanding fundamental symmetries in nature.